E
Transition: Early Additive to Advanced Additive
Domain:
Multiplication and Division
Achievement Number: Level 3
Number Strategies AO1:
Objectives
Use a range of additive and simple multiplicative strategies
with whole numbers, fractions, decimals, and percentages.
Number Knowledge AO1
Know basic multiplication and division facts.
Number Knowledge AO3
Know how many tenths, tens, hundreds, and thousand, are in
whole numbers.
Algebra: Level 3
Equations and Expressions AO1:
Record and interpret additive and simple
multiplicative strategies, using words,
diagrams, and symbols, with an understanding
of equality.
Strategies being
developed
Problem progression
References
Knowledge being
developed
Resources
Use times five facts to work
out times six, seven, and four
facts (using the distributive
property)
2 × 5 =  so 2 × 6 = ,
2×7=
4 × 5 =  so 4 × 6 = ,
4×7=
6 × 5 =  so 6 × 6 = ,
6×7=
9 × 5 =  so 9 × 6 = ,
9×7=
20 × 5 =  so
20 × 6 = , 20 × 7 = 
Teaching Multiplication and
Division (Book6)
Introduction (24-25)
Fun with fives (28-30)
A Little Bit More/A Little Bit
Less (32-34)
Figure It Out
N7/8.1 Fives and tens (4-5)
Recall groupings of twos,
threes, fives, and tens that
are in numbers to 100 and
the resulting remainders
Teaching Number Knowledge
(Book 4)
Skip counting on a number
line (11)
Beep (12)
Using calculators (24)
Estimation (25)
Dividing? Think about
multiplying first (37)
Figure It Out
NS 7/8 L.1 Flying Feet (9)
N 7/8 L.1 That’s odd (2)
N 7/8 L.1 Fives and tens (4)
N 7/8 L.1 Firewood Fever
(16)
CA
AC
EA
AA
AM
AP
Transition: Early Additive to Advanced Additive
Domain:
Multiplication and Division
Strategies being
developed
Problem progression
References
Knowledge being
developed
Resources
Use times ten facts to work
out times nine facts (using
the distributive property)
2 × 10 =  so 2 × 9 = 
9 × 10 =  so 9 × 9 = 
6 × 10 =  so 6 × 9 = 
3 × 9 = 30 -  = 
8 × 9 = 80 -  = 
5 × 9 = 50 -  = 
2 × 20 =  so 2 × 19 = 
4 × 100 =  so 4 × 99 =
Teaching Multiplication and
Division (Book6)
A Little Bit More/A Little Bit
Less (32-34)
Figure It Out
N 7/8 Link 2 Planting with the
Whanau (6)
Recall all the
multiplication and
division facts for 2, 3, 5,
10 x tables
Teaching Number Knowledge
(Book4)
Number mats and number fans
(34)
In and out (36)
Multiplication madness (36)
Loopy (37)
Multiplication flash cards (38)
Figure It Out
BF 2-3 (11) Heading for home
BF 2-3 (24) Six shooters
BF 3 (20) Dicey Dabble
BF 3-4 (12) A matter of factor
BF 3-4 (15) How many factors?
BF 3-4 To and fro (16)
N 7/8 L.1 Sums and products (12)
N 7/8 L.1 Container contents (13)
N 7/8 L.2 Table tricks (2)
Teaching Number knowledge
(Book 4)
Tens in hundreds and more (27)
Figure It Out
N 7/8 l.1 Fundraising (6)
Change the order of the
factors to make a
multiplication problem
easier, e.g. 26 x 3 = 3 x 26
Teaching Multiplication and
Division (Book6)
Turnabouts (34-36)
Figure It Out
N 2-3 High Flyers (14)
BF 2-3 Times Up (8)
NS&AT2-3.1 (6-7) Keeping Score
Recall groupings of 10
and 100 that can be
made from a four-digit
number
E
CA
AC
EA
AA
AM
AP
E
Transition: Early Additive to Advanced Additive
Strategies being
developed
Find out how many ones,
tens, hundreds and
thousands are in all of a
whole number,
Use two times facts to
work out three, four, six,
and eight times facts
(using doubling and the
distributive property)
Multiply by tens,
hundreds, thousands, and
other multiples of ten
Problem progression
2 × 5 =  so 4 × 5 = 
so 5 × 4 = 
2 × 6 = , 3 × 6 = ,
6 × 6 = , 4 × 6 = ,
8×6=
2 × 8 = , 3 × 8 = ,
6 × 8 = , 4 × 8 = ,
8×8=
2 × 25 = , 3 × 25 = ,
4 × 25 = ,
8 × 25 = 
5 × 10 = , 5 × 20 = , 5 × 40 = 
8 × 10 = , 8 × 20 = , 8 × 30 =
6 × 10 = , 6 × 30 = , 6 × 60 = 
4 × 100 = ,
4 × 200 = ,4 × 400= 
3 × 100 = , 3 × 400 = ,
3 × 900 = 
Domain:
Multiplication and Division
References
Knowledge being
developed
Teaching Multiplication and
Division (Book6)
Money Changing (25-28)
Recall multiplication facts
for squares to 100
Figure It Out
BF 3 Factor Puzzles (11)
BF 3 Stars and Students (12)
BF 3 Digital Delights (13)
BF 3 Multiple Mirrors (21)
N 7/8 Link Table Tricks (2)
N 7/8 Link factor Fun (5)
Record the results of mental
calculation using
multiplication and division
equations and diagrams
Teaching Multiplication and
Division (Book6)
Multiplying tens (30-32)
Figure It Out
N 3.1 Standing Room Only
(4)
N 3.1 Tens Time (8)
NS 7/8 Link It Pays to Win
(18)
Resources
CA
AC
EA
AA
AM
N 7/8 L.2 Divisive tactics (14)
AP
E
Transition: Early Additive to Advanced Additive
Domain:
Multiplication and Division
Strategies being developed
Problem progression
References
Solve sharing problems by reversing
multiplication facts
4 × 9 =  so 36 shared among 4?, among 2?
6 × 10 =  so 60 shared among 10, among 5, among
20
3 × 8 =  so 24 shared among 3, among 6
8 × 8 =  so 64 shared among 8, among 4, among 16
9 × 8 =  so 72 shared among 3, among 18
5 × 8 =  so 40 can be made into  sets of 4, of 2, of 8
6 × 7 =  so 42 can be made into  sets of 6, of 7, of
3, of 14
9 × 4 =  so 36 can be made into  sets of 8, of 3, of
12
Teaching Multiplication and Division (Book6)
Goesintas (38-40)
Figure It Out
N 2-3 Wheel and Deal (15)
N 2-3 Stepping Out (16)
Solve “How many equal sets of ?” problems
by reversing multiplication facts
Solve problems using a combination of
addition, subtraction, multiplication and
division mental strategies
Teaching Multiplication and Division (Book6)
Long jumps (36-38)
Figure It Out
BF 2-3 Heading for Home (11)
N 7/8 Link Container Contents (13)
Figure It Out
BF 2.1 Dazzler Digs On (19)
BF 2.1 Pocket Money (15)
BF 2-3 Thirty One or More (4)
NS&AT 7/8.1 Choice Calculations
NS&AT 7/8.1 Splitting Numbers (2)
NS&AT 7/8.1 Hit the Target (7)
NS&AT 7/8.1 Pathways (8)
CA
AC
EA
AA
AM
AP